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Calculate the integral
$5$
Calculate the integral
$\int _{ \color{#FF6800}{ 0 } }^{ \color{#FF6800}{ 1 } } { \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 3 } } } d { \color{#FF6800}{ x } }$
 Calculate the differentiation of the logarithmic function 
$\left ( \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 0 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 0 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 0 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 0 } \right )$
$\left ( 16 \times 1 ^ { 4 } - 16 \times 1 ^ { 3 } + 6 \times 1 ^ { 2 } - 1 \right ) - \left ( 16 \times \color{#FF6800}{ 0 } ^ { 4 } - 16 \times \color{#FF6800}{ 0 } ^ { 3 } + 6 \times \color{#FF6800}{ 0 } ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 0 } \right )$
 0 does not change when you add or subtract 
$\left ( 16 \times 1 ^ { 4 } - 16 \times 1 ^ { 3 } + 6 \times 1 ^ { 2 } - 1 \right ) - \left ( 16 \times 0 ^ { 4 } - 16 \times 0 ^ { 3 } + 6 \times 0 ^ { 2 } \right )$
$\left ( \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 0 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 0 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 0 } ^ { \color{#FF6800}{ 2 } } \right )$
 Calculate the value 
$\color{#FF6800}{ 5 }$
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